Find the circumference of a circle with a diameter of 50 centimeters. Round your answer to the nearest centimeter.
Question
Find the circumference of a circle with a diameter of 50 centimeters.
Round your answer to the nearest centimeter.
Solution
1. Break Down the Problem
To find the circumference of a circle, we need to use the formula: where is the circumference and is the diameter.
2. Relevant Concepts
In this case, we have:
- Diameter () = 50 cm
- The constant (approximately 3.14 or 22/7 for calculations).
3. Analysis and Detail
Now we can substitute the diameter into the formula:
Using :
4. Verify and Summarize
Calculating :
Now, rounding to the nearest centimeter, we find that the circumference of the circle is 157 cm.
Final Answer
The circumference of the circle is approximately 157 centimeters.
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